Question
In: Math
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is greater than 17.9.
| x | 67 | 79 | 68 | 52 | 56 | 78 | 78 | 78 |
|---|---|---|---|---|---|---|---|---|
| y | 30 | 50 | 32 | 49 | 31 | 51 | 37 | 35 |
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value =
(b) Use your calculator to find the P-value of this test.
P-value =
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.04 significance level. If there are two critical values, then list them both with a comma between them.
Critical value(s) =
(d) What is the correct conclusion of this hypothesis test at the 0.04 significance level?
- There is sufficient evidence to warrant rejection the claim that the mean difference is greater than 17.9
- There is not sufficient evidence to support the claim that the mean difference is greater than 17.9
- There is not sufficient evidence to warrant rejection the claim that the mean difference is greater than 17.9
- There is sufficient evidence to support the claim that the mean difference is greater than 17.9
Solutions
milcah answered 1 year agoRelated Solutions
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random
samples. The population of (x−y)(x-y) differences is approximately
normally distributed. A claim is made that the mean difference
(x−y)(x-y) is not equal to -23.5.
x
60
62
46
45
37
45
46
46
y
79
77
75
86
83
71
76
77
For each part below, enter only a numeric value
in the answer box. For example, do not type "z =" or
"t =" before your answers. Round...
The two data sets in the table below are dependent random samples. The population of (...
The two data sets in the table below are dependent random
samples. The population of ( x − y ) (x-y) differences is
approximately normally distributed. A claim is made that the mean
difference ( x − y ) (x-y) is less than -31.4.
X 25 32 48 37 39 34 37
Y 73 64 66 80 78 67 84
For each part below, enter only a numeric value in the answer
box. For example, do not type "z ="...
Suppose that X and Y are random samples of observations from a population with mean μ...
Suppose that X and Y are random samples of observations from a
population with mean μ and variance σ2.
Consider the following two unbiased point estimators of μ.
A = (7/4)X - (3/4)Y B = (1/3)X +
(2/3)Y
[Give your answers as ratio (eg: as number1 /
number2 ) and DO NOT make any
cancellation]
1. Find variance of A. Var(A) = ?
*σ2
2. Find variance of B. Var(B) = ?
*σ2
3. Efficient and unbiased...
The Table below shows data of two random samples of employee wages taken from two small...
The Table below shows data of two random samples of employee
wages taken from two small business firms providing the same
service. The issue to be evaluated is whether the average wage in
these two firms is the same. Test this hypothesis at α =
0.05.
Values of Test-Statistics, zo, critical statistic are ?? and the
decision is to ....
Wages from two small business firms
Observation #
Wages in Firm A ($)
Wages in Firm B ($)
Observation #...
Given two dependent random samples with the following results: Population 1 Population 2 53 57 60 ...
Given two dependent random samples with the following
results:
Population 1 Population 2
53 57
60 55
79 82
78 68
56 65
68 73
60 51
66 76
Can it be concluded, from this data, that there is a significant
difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry)
. Use a significance level of α=0.02
for the test. Assume that both populations are normally
distributed.
Step 2 of 5:
Find the value of the standard...
The following data sets represent simple random samples from a population whose mean is 100. Complete...
The following data sets represent simple random samples from a
population whose mean is 100. Complete parts (a) through (e)
below. Full data set Data Set I 106 124 88 126 89 71 74 110 Data
Set II 106 124 88 126 89 71 74 110 88 91 109 83 113 118 94 124 97
85 80 104 Data Set III 106 124 88 126 89 71 74 110 88 91 109 83 113
118 94 124 97 85 80...
Consider the two dependent discrete random variables X and Y . The variable X takes values...
Consider the two dependent discrete random variables X and Y .
The
variable X takes values in {−1, 1} while Y takes values in {1, 2,
3}. We observe that
P(Y =1|X=−1)=1/6
P(Y =2|X=−1)=1/2
P(Y =1|X=1)=1/2
P(Y =2|X=1)=1/4
P(X = 1) = 2/ 5
(a) Find the marginal probability mass function (pmf) of Y .
(b) Sketch the cumulative distribution function (cdf) of Y .
(c) Compute the expected value E(Y ) of Y .
(d) Compute the conditional expectation...
for the quantitative variables x and y are given in the table below. These data are...
for the quantitative variables
x
and
y
are given in the table below. These data are plotted in the
scatter plot shown next to the table.
In the scatter plot, sketch an approximation of the
least-squares regression line for the data.
x
y
7.4
6.6
4.0
5.0
2.0
3.9
3.1
5.0
9.4
8.4
4.7
5.9
6.6
6.2
8.5
6.9
7.9
7.3
1.6
3.7
4.4
4.6
2.8
3.9
2.7
3.1
5.7
6.3
5.9
7.3
9.7
8.3
6.9
6.3
8.8
8.4
x...
For the table below, if Y is the dependent variable and X1 and X2 are the...
For the table below, if Y is the dependent variable and X1 and
X2 are the independent variables. Using the linear regression
equation Y=-0.45X1-1.34X2+15.67, which observation
has the largest absolute residual?
Observation number
Actual Y
x1
X2
1
4.5
6.8
6.1
2
3.7
8.5
5.1
3
5
9
5
4
5.1
6.9
5.4
5
7
8
4
6
5.7
8.4
5.4
The first observation
The third observation
The fifth observation
The second observation
For the table below, if Y is the dependent variable and X1 and X2 are the...
For the table below, if Y is the dependent variable and X1 and
X2 are the independent variables. Using the linear regression
equation Y=-0.45X1-1.34X2+15.67, find the Sum of
Squared Residuals? (choose the best answer)
Observation number
Actual Y
x1
X2
1
4.5
6.8
6.1
2
3.7
8.5
5.1
3
5
9
5
4
5.1
6.9
5.4
5
7
8
4
6
5.7
8.4
5.4
2.57
2.97
3.2
3.5
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